Traveling wave to a reaction-hyperbolic system for axonal transport

被引：0
|
作者：
Huang, Feimin [1 ,2 ]
Li, Xing [3 ]
Zhang, Yinglong [4 ]
机构：
[1] Hunan Normal Univ, Coll Math & Comp Sci, Changsha, Hunan, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
[3] Shenzhen Univ, Coll Math & Stat, Shenzhen, Peoples R China
[4] Seoul Natl Univ, Dept Math Sci, Seoul, South Korea
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 263卷 / 01期
关键词：
Reaction-hyperbolic system; Axonal transport; Traveling wave; Convergence rate; CONSERVATION-LAWS; CONVERGENCE; RELAXATION; ORGANELLES; EQUATIONS; ENTROPY; MOTION;
D O I：
10.1016/j.jde.2017.02.033
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study a class of nonlinear reaction-hyperbolic systems modeling the neuronal signal transfer in neuroscience. This reaction-hyperbolic system can be regarded as n x n (n >= 2) hyperbolic system. with relaxation. We first prove the existence of traveling wave by Gershgorin circle theorem and mathematically describe the neuronal signal transport. Then for a special case n = 2, we show the traveling wave is nonlinearly stable, and obtain the convergence rate simultaneously by a weighted estimate. (C) 2017 Elsevier Inc. All rights reserved.
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页码：264 / 284
页数：21
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